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Year 11 maths · E.2 · Angles

Solve for x with vertical angles and linear pairs

Vertical angles are equal; a linear pair adds to 180°.

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  1. The angles (x + 1)° and (5x − 107)° are vertical angles. Find x.

    Answer: 27

  2. The angles (4x − 29)° and (5x − 51)° are vertical angles. Find x.

    Answer: 22

  3. The angles (x + 20)° and (2x − 10)° are vertical angles. Find x.

    Answer: 30

Tip: Vertical angles are equal; a linear pair adds to 180°.

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